Answered: A big box contains 80 red toys and 35…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A big box contains 80 red toys and 35 blue toys. Assume sampling is done with replacement,
and that we are selecting toys at random:
A. What is the probability of selecting a blue toy?
B. What is the probability of selecting a red toy and then a blue toy?
C. What is the distribution that best describes this data? Can this distribution be
approximated by a normal distribution? Why / why not?
D. Suppose we are interested in the number of blue toys we get from this box if we select
five different toys, what is the mean and standard deviation of the number of blue toys
we get in these five samples?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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